Properties of the Number 47313

Forty-Seven Thousand Three Hundred Thirteen

Basics

Value: 47312 → 47313 → 47314

Parity: odd

Prime: No

Previous Prime: 47309

Next Prime: 47317

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 751

Divisors: 1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100011010001

Octal: 134321

Duodecimal: 23469

Hexadecimal: b8d1

Square: 2238519969

Square Root: 217.51551668789057

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of ∏_n>=1 (1 - x^3·n)/(1 - xⁿ)² in powers of x. A278690

Triangle read by rows: T(n,k) is the number of ternary trees with n edges and such that the first leaf in the preorder traversal is at level k (1<=k<=n). A ternary tree is a rooted tree in which each vertex has at most three children and each child of a vertex is designated as its left or middle or right child. A121445

The hyper-Wiener index of the hexagonal triangle T_n, defined in the He et al. reference. A248094

Number of n-step self-avoiding walks on the half-Manhattan lattice with no non-contiguous adjacencies. A336726

Number of primitive Heron triangles with diameter <= 2ⁿ. A208979

Numbers that are congruent to {1, 4, 5, 6} mod 7. A47313